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@article{FAA_1979_13_2_a1,
author = {I. M. Gel'fand and S. G. Gindikin and Z. Ya. Shapiro},
title = {A local problem of integral geometry in a space of curves},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {11--31},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1979_13_2_a1/}
}
TY - JOUR AU - I. M. Gel'fand AU - S. G. Gindikin AU - Z. Ya. Shapiro TI - A local problem of integral geometry in a space of curves JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1979 SP - 11 EP - 31 VL - 13 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1979_13_2_a1/ LA - ru ID - FAA_1979_13_2_a1 ER -
I. M. Gel'fand; S. G. Gindikin; Z. Ya. Shapiro. A local problem of integral geometry in a space of curves. Funkcionalʹnyj analiz i ego priloženiâ, Tome 13 (1979) no. 2, pp. 11-31. http://geodesic.mathdoc.fr/item/FAA_1979_13_2_a1/
[1] Gelfand I.M., Graev M.I., Vilenkin N.Ya., Integralnaya geometriya i svyazannye s nei voprosy teorii predstavlenii, Fizmatgiz, M., 1962 | MR
[2] Gelfand I.M., Graev M.I., Shapiro Z.Ya., “Integralnaya geometriya na $k$-mernykh ploskostyakh”, Funkts. analiz, 1:1 (1967), 15–31 | MR
[3] Gelfand I.M., Graev M.I., “Kompleksy $k$-mernykh ploskostei v prostranstve $C^n$ i formula Plansherelya dlya gruppy $GL(n,\mathbb C)$”, DAN SSSR, 179:3 (1968), 522–525 | MR
[4] Gelfand I.M., Graev M.I., “Dopustimye kompleksy pryamykh v $\mathbf C^n$”, Funkts. analiz, 2:3 (1968), 39–52 | MR
[5] Maius K., “Dopustimye kompleksy s odnoi kriticheskoi tochkoi”, Funkts. analiz, 9:2 (1975), 81–82 | MR
[6] Gelfand I.M., Gindikin S.G., “Nelokalnye formuly obrascheniya v veschestvennoi integralnoi geometrii”, Funkts. analiz, 11:3 (1977), 12–19 | MR
[7] Helgason S., “Differential operators on homogeneous spaces”, Acta Math., 102 (1959), 239–299 | DOI | MR | Zbl
[8] Helgason S., “Duality and Radon transform for symmetric spaces”, Amer. J. Math., 85 (1963), 667–692 | DOI | MR | Zbl
[9] Gelfand I.M., Graev M.I., “Geometriya odnorodnykh prostranstv, predstavleniya grupp v odnorodnykh prostranstvakh i svyazannye s nimi voprosy integralnoi geometrii. I”, Trudy Mosk. matem. ob-va, 8, 1959, 321–390
[10] Gindikin S.G., Karpelevich F.I., “Ob odnoi zadache integralnoi geometrii”, Sb. pamyati N.G. Chebotareva, izd. Kazanskogo un-ta, Kazan, 1964, 30–43 | MR | Zbl
[11] Arnold V.I., Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1978 | MR
[12] E. Cartan, “Sur les variétés à connection projective”, Bull. Soc. Math. France, 52 (1924), 205–241 ; Oeuvres, III, 1, no. 70, Paris, 1955, 825–862 | DOI | MR | Zbl
[13] Mukhometov P.G, “O zadache integralnoi geometrii”, Matematicheskie problemy geofiziki, 6, VTs SO AN SSSR, Novosibirsk, 1975, 212–242
[14] Romanov V.G., “Integralnaya geometriya na geodezicheskikh izotropnoi rimanovoi metriki”, DAN SSSR, 241:2 (1978), 290–293 | MR | Zbl
[15] Bernshtein I.N., Gerver M.L., “O zadache integralnoi geometrii dlya semeistva geodezicheskikh i ob obratnoi kinematicheskoi zadache seismiki”, DAN SSSR, 243:2 (1978), 302–305 | MR
[16] Guillemin V., Sternberg S., Geometric asymptotics, Amer. Math. Soc., Providence, R.I., 1977 | MR | Zbl
[17] Gelfand I.M., Graev M.I., Shapiro 3.Ya., “Integralnaya geometriya v proektivnom prostranstve”, Funkts. analiz, 4:1 (1970), 14–32 | MR